← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 976 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 28, 44, 44 and 40? (a) 40 (b) 52 (c) 39 (d) 38
  2. 2.What is the average of 41, 45, 56, 45 and 83? (a) 56 (b) 53 (c) 55 (d) 54
  3. 3.What is the average of 48, 39, 48 and 57? (a) 48 (b) 47 (c) 64 (d) 49
  4. 4.What is the average of all the whole numbers from 13 to 27? (a) 20 (b) 21 (c) 14 (d) 7
  5. 5.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 35 (b) 25 (c) 48 (d) 12
  6. 6.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 12 (b) 61 (c) 29 (d) 11
  7. 7.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 31 (c) 8 (d) 35
  8. 8.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 51 (b) 30 (c) 33 (d) 27
  9. 9.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 29 (c) 45 (d) 20
  10. 10.What is the average of all the whole numbers from 8 to 30? (a) 20 (b) 19 (c) 22 (d) 11
  11. 11.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 24 (c) 38 (d) 54
  12. 12.What is the average of 75, 68, 79, 85, 69 and 98? (a) 81 (b) 79 (c) 78 (d) 80
  13. 13.What is the average of all the whole numbers from 17 to 45? (a) 32 (b) 14 (c) 31 (d) 28
  14. 14.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 15 (b) 65 (c) 34 (d) 46
  15. 15.What is the average of 59, 58, 71 and 52? (a) 59 (b) 80 (c) 61 (d) 60
  16. 16.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 31 (c) 30 (d) 43
  17. 17.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 68 (b) 49 (c) 35 (d) 16
  18. 18.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 23? (a) 12 (b) 32 (c) 26 (d) 23
  19. 19.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 52 (b) 40 (c) 44 (d) 76
  20. 20.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 40 (b) 25 (c) 20 (d) 35
  21. 21.What is the average of all the whole numbers from 10 to 36? (a) 24 (b) 13 (c) 23 (d) 26
  22. 22.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 5 (c) 51 (d) 30
  23. 23.What is the average of all the whole numbers from 50 to 66? (a) 58 (b) 16 (c) 59 (d) 8
  24. 24.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 50 (b) 24 (c) 70 (d) 96
  25. 25.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 62 (c) 28 (d) 82
  26. 26.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 44 (b) 45 (c) 79 (d) 39
  27. 27.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 91 (b) 36 (c) 61 (d) 67
  28. 28.What is the average of 72, 72, 46 and 46? (a) 58 (b) 59 (c) 60 (d) 61
  29. 29.What is the average of all the whole numbers from 22 to 52? (a) 38 (b) 30 (c) 37 (d) 15
  30. 30.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 18 (b) 14 (c) 29 (d) 25
  31. 31.What is the average of 30, 28, 26 and 24? (a) 28 (b) 26 (c) 36 (d) 27
  32. 32.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 18 (b) 19 (c) 33 (d) 71
  33. 33.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 19 (b) 11 (c) 20 (d) 12
  34. 34.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 70 (c) 40 (d) 100
  35. 35.What is the average of all the whole numbers from 50 to 72? (a) 11 (b) 22 (c) 62 (d) 61
  36. 36.What is the average of all the whole numbers from 42 to 66? (a) 24 (b) 55 (c) 54 (d) 12
  37. 37.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 46 (c) 14 (d) 36
  38. 38.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 40 (c) 26 (d) 61
  39. 39.What is the average of all the whole numbers from 36 to 50? (a) 44 (b) 14 (c) 7 (d) 43
  40. 40.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 30 (b) 17 (c) 42 (d) 29

Answer key

  1. 39
  2. 54
  3. 48
  4. 20
  5. 35
  6. 11
  7. 35
  8. 51
  9. 45
  10. 19
  11. 54
  12. 79
  13. 31
  14. 46
  15. 60
  16. 43
  17. 49
  18. 32
  19. 76
  20. 40
  21. 23
  22. 30
  23. 58
  24. 70
  25. 82
  26. 79
  27. 91
  28. 59
  29. 37
  30. 29
  31. 27
  32. 18
  33. 20
  34. 100
  35. 61
  36. 54
  37. 36
  38. 61
  39. 43
  40. 42

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad